Rindler Bulk Reconstruction and Subregion Duality in AdS/CFT

Abstract: In this talk, we show that the AdS-Rindler reconstruction is incomplete. CFT operators naively given by the holographic dictionary for the AdS-Rindler reconstruction contain tachyonic modes, which are inconsistent with the causality and unitarity of the CFT. Therefore, the subregion duality and the entanglement wedge reconstruction do not hold. We also find that the tachyonic modes in the AdS-Rindler patch lead to arbitrary high-energy or trans- Planckian modes in the global AdS. It means that the mode expansion of the Rindler patch is sensitive to the UV limit, i.e., quantum gravity. In addition, the tachyonic modes are related to null geodesics connecting the past and future horizons. This talk is based on the paper [arXiv:2207.06455] with Seiji Terashima.

general relativity and quantum cosmologyHEP - theory

Audience: researchers in the topic

Quantum Cosmos Seminars